Answer:
24
Step-by-step explanation:
Answer: W
Step-by-step explanation:
i took the test
Answer:
The answer is below
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. . The z score is given by:
![z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%20where%5C%20%5Cmu%20%5C%20is%20%5C%20the%5C%20mean%2C%20%5Csigma%5C%20is%5C%20the%5C%20standard%5C%20deviation%5C%20and%5C%20x%20%5C%20is%5C%20the%5C%20raw%5C%20score)
(a) Z = -0.12 and Z = 0.12
From the normal distribution table, Area between z equal -0.12 and z equal 0.12 = P(-0.12 < z < 0.12) = P(z < 0.12) - P(z < -0.12) = 0.5478 - 0.4522 = 0.0956 = 9.56%
b) The area that lies between Z = - 0.35 and Z=0
From the normal distribution table, Area between z equal -0.35 and z equal 0 = P(-0.35 < z < 0) = P(z < 0) - P(z < -0.35) = 0.5 - 0.3594 = 0.1406 = 14.06%
c) The area that lies between Z = 0.02 and Z = 0.82
From the normal distribution table, Area between z equal 0.02 and z equal 0.82 = P(0.02 < z < 0.82) = P(z < 0.82) - P(z < 0.02) = 0.7939 - 0.5080 = 0.2859 = 28.59%
Step 1: Find the circumference of the circle
Formula for circumference: C = 2 * pi * r
C = 2 * pi * 27
C = 54pi
Step 2: Find the length of the desired arc
We are only looking for 20 degrees out of 360 degrees, therefore we can multiply our circumference by 20/360.
20/360 * 54pi = 3pi units
Hope this helps!